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Merge pull request #280 from daniel-s-ingram/master
Solution to Problem 19
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Project Euler/Problem 19/sol1.py
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Project Euler/Problem 19/sol1.py
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from __future__ import print_function
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'''
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Counting Sundays
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Problem 19
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You are given the following information, but you may prefer to do some research for yourself.
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1 Jan 1900 was a Monday.
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Thirty days has September,
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April, June and November.
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All the rest have thirty-one,
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Saving February alone,
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Which has twenty-eight, rain or shine.
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And on leap years, twenty-nine.
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A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.
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How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?
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'''
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days_per_month = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]
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day = 6
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month = 1
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year = 1901
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sundays = 0
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while year < 2001:
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day += 7
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if (year%4 == 0 and not year%100 == 0) or (year%400 == 0):
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if day > days_per_month[month-1] and month is not 2:
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month += 1
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day = day-days_per_month[month-2]
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elif day > 29 and month is 2:
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month += 1
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day = day-29
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else:
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if day > days_per_month[month-1]:
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month += 1
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day = day-days_per_month[month-2]
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if month > 12:
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year += 1
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month = 1
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if year < 2001 and day is 1:
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sundays += 1
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print(sundays)
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